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navik [9.2K]
3 years ago
8

Someone help me out. I swear I leanred how tro do this years ago but I guess I'm not that smart

Mathematics
1 answer:
guajiro [1.7K]3 years ago
7 0

Answer:

-1

Step-by-step explanation:

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Using the t-distribution, it is found that the 99% confidence interval for the difference is (0.058, 3.462).

We are given the <u>standard deviation for the samples</u>, hence, the t-distribution is used to solve this question.

The standard errors are given by:

s_A = \frac{1.79}{\sqrt{18}} = 0.4219

s_B = \frac{1.95}{\sqrt{18}} = 0.4596

For the distribution of differences, the <u>mean and the standard error</u> are given by:

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s = \sqrt{0.4219^2 + 0.4596^2} = 0.6239

The interval is given by:

\overline{x} \pm ts

The critical value for a <u>two-tailed 99% confidence interval</u> with 18 + 18 - 2 = <u>34 df</u> is t = 2.7284.

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\overline{x} - ts = 1.76 - 2.7284(0.6239) = 0.058

\overline{x} + ts = 1.76 + 2.7284(0.6239) = 3.462

The 99% confidence interval for the difference is (0.058, 3.462).

For more on the t-distribution, you can check brainly.com/question/16162795

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